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A recurrence relation for solution of singular Volterra integral equations using Chebyshev polynomials

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Publication:1150262
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DOI10.1007/BF01934078zbMath0455.65087MaRDI QIDQ1150262

Sheo Kumar

Publication date: 1981

Published in: BIT (Search for Journal in Brave)


zbMATH Keywords

Chebyshev polynomialsrecurrence relationChebyshev series methodsingular and non-singular kernels


Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximate quadratures (41A55) Volterra integral equations (45D05) Numerical integration (65D30)


Related Items (3)

On the numerical solution of strongly singular fredholm integral equations of the second kind ⋮ Singular expansions and collocation methods for generalized Abel integral equations ⋮ Haar wavelet method for some nonlinear Volterra integral equations of the first kind



Cites Work

  • An Existence Theorem for Abel Integral Equations
  • Numerial Methods for Volterra Integral Equations with Singular Kernels


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